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Finding the Fourth Proportional to 458.75, 634.28 and 438.35

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Solution

The fourth proportional to 458.75, 634.28 and 438.35 is: 606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 634.28 = 438.35 : x
  2. Step 2: Convert to fraction form
    458.75/634.28 = 438.35/x
  3. Step 3: Cross multiply
    458.75x = 634.28 × 438.35
  4. Step 4: Simplify right side
    458.75x = 278,034.45
  5. Step 5: Solve for x
    x = 278,034.45/458.75
  6. Step 6: Final answer
    x = 606.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.